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Finding the Fourth Proportional to 2,412.96, 3,329.42 and 1,364.82

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Solution

The fourth proportional to 2,412.96, 3,329.42 and 1,364.82 is: 1,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.96 : 3,329.42 = 1,364.82 : x
  2. Step 2: Convert to fraction form
    2,412.96/3,329.42 = 1,364.82/x
  3. Step 3: Cross multiply
    2,412.96x = 3,329.42 × 1,364.82
  4. Step 4: Simplify right side
    2,412.96x = 4,544,059.00
  5. Step 5: Solve for x
    x = 4,544,059.00/2,412.96
  6. Step 6: Final answer
    x = 1,883.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.